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College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 22, Problem 2CQ
To determine
Whether inductance in hair dryer can increase or decrease the value of
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A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 440 Ω and the inductor has an inductance of L = 150 mH.
a) write an equation that relates the current as a function of time i(t) to the maximum current, imax. Express the equation in terms of imax and α, where α = -t/T (time constant).
b) determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax.
c) determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.
A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment
the switch is closed, current flows through the circuit. The resistor has a resistance of R =
470 Q and the inductor has an inductance of L = 0.115 H.
%3D
R
= 9.0V
a) What is the time constant (t=L/R) of the circuit? In which direction does current
flow in this circuit?
b) When the switch is first closed, what is the direction of the induced emf across L?
What is the maximum current in this circuit?
c) What is the potential difference across the inductor L after the switch has been
closed a long time (t >0)?
000000
Problem 275. Two metal spheres of radius R are placed at a very large distance
from each other, and they are connected by a coil of inductance L, as it is shown in
the figure. One of the spheres is loaded with electric charge. At what time, after closing
the switch S, does the charge on this sphere decrease to the half? At what time will the
charge reach the original value again?
L
S
Chapter 22 Solutions
College Physics (10th Edition)
Ch. 22 - For a series ac R-L-C circuit, (a) why do the...Ch. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - At high frequencies, a capacitor becomes a short...Ch. 22 - Prob. 5CQCh. 22 - The current in an ac power line changes direction...Ch. 22 - Electric-power companies like to have their power...Ch. 22 - Prob. 8CQCh. 22 - When a series-resonant circuit is connected across...Ch. 22 - Is it possible for the power factor of an R-L-C ac...
Ch. 22 - During the last quarter of the 19th century, there...Ch. 22 - In an ac circuit, why is the average power...Ch. 22 - A piece of electrical equipment in an ac circuit...Ch. 22 - A light bulb is the resistance in a series R-L-C...Ch. 22 - A series R-L-C ac circuit with a sinusoidal...Ch. 22 - In a series R-L-C circuit powered by an ac...Ch. 22 - In a series R-L-C circuit powered by an ac...Ch. 22 - In a series R-L-C circuit powered by an ac...Ch. 22 - A series circuit contains an inductor, a resistor,...Ch. 22 - Prob. 8MCPCh. 22 - If the root-mean-square currant in an ac circuit...Ch. 22 - In a series R-L-C circuit, the voltage source...Ch. 22 - In an R-L-C ac series circuit, if the resistance...Ch. 22 - In a series R-L-C ac circuit at resonance, A. the...Ch. 22 - Prob. 1PCh. 22 - An electric motor is being powered with a voltage...Ch. 22 - A capacitance C and an inductance L are operated...Ch. 22 - the angular frequency in part (a), and what is the...Ch. 22 - Circuit design. You are designing an amplifier...Ch. 22 - A 2.20F capacitor is connected across an ac source...Ch. 22 - The voltage amplitude of an ac source is 25.0 V,...Ch. 22 - Find the current amplitude if the self-inductance...Ch. 22 - A sinusoidal ac voltage source in a circuit...Ch. 22 - A 65 resistor, an 8.0 F capacitor, and a 35 mH...Ch. 22 - In an R-L-C series circuit, the rms voltage across...Ch. 22 - A 1500 resistor is connected in series with a 350...Ch. 22 - (a) Compute the impedance of a series R-L-C...Ch. 22 - A 200 resistor is in series with a 0.100 H...Ch. 22 - A hair dryer is designed to produce 1200 W of...Ch. 22 - A series R-L-C circuit is connected to a 120 Hz ac...Ch. 22 - The circuit in Problem 13 carries an rms current...Ch. 22 - A series ac circuit contains a 250 resistor, a 15...Ch. 22 - An ac series R-L-C circuit contains a 120 w...Ch. 22 - (a) At what angular frequency will a 5.00 F...Ch. 22 - In an R-L-C series circuit, R = 150 , L = 0.750 H,...Ch. 22 - You need to make a series ac circuit having a...Ch. 22 - A series circuit consists of an ac source of...Ch. 22 - In a series R-L-C circuit, R = 400 , L = 0.350 H,...Ch. 22 - In a series R-L-C circuit, L = 0.200 H, C = 80.0...Ch. 22 - In an R-L-C series circuit, R = 300 , L = 0.400 H,...Ch. 22 - A solenoid has a resistance of 48.0 and an...Ch. 22 - A large electromagnetic coil is connected to a 120...Ch. 22 - A parallel-plate capacitor having square plates...Ch. 22 - At a frequency 1, the reactance of a certain...Ch. 22 - An electrical engineer is designing an R-L-C...Ch. 22 - Consider the circuit sketched in Figure 22.22. The...Ch. 22 - In a series R-L-C circuit, the components have the...Ch. 22 - (a) Show that for an R-L-C series circuit the...Ch. 22 - In an R-L-C series circuit, the magnitude of the...Ch. 22 - In a series R-L-C circuit, R = 300 , XC = 300 ,...Ch. 22 - In a series R-L-C circuit, the phase angle is...Ch. 22 - A 100.0 resistor, a 0.100 F capacitor, and a...Ch. 22 - Consider the same circuit as in the preceding...Ch. 22 - Converting dc to ac. An individual cell such as an...Ch. 22 - If the electrode oscillates between two points 20 ...Ch. 22 - Converting dc to ac. An individual cell such as an...Ch. 22 - Converting dc to ac. An individual cell such as an...
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- When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8arrow_forwardIn the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.arrow_forwardConsider the circuit in Figure P32.18, taking = 6.00 V, L = 8.00 mH, and R = 4.00 . (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 250 s after the switch is closed. (c) What is the value of the final steady-state current? (d) After what time interval does the current reach 80.0% of its maximum value?arrow_forward
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